Article ID Journal Published Year Pages File Type
4616511 Journal of Mathematical Analysis and Applications 2013 16 Pages PDF
Abstract
Let φ:Rn×[0,∞)→[0,∞) be such that φ(x,⋅) is an Orlicz function and φ(⋅,t) is a Muckenhoupt A∞(Rn) weight uniformly in t. In this article, the authors introduce the Musielak-Orlicz Campanato space Lφ,q,s(Rn); as an application, the authors prove that some of them is the dual space of the Musielak-Orlicz Hardy space Hφ(Rn), which, in the case when q=1 and s=0, was obtained by L.D. Ky [ arXiv:1105.0486]. The authors also establish a John-Nirenberg inequality for functions in Lφ,1,s(Rn) and, as an application, the authors also obtain several equivalent characterizations of Lφ,q,s(Rn), which, in return, further induce the φ-Carleson measure characterization of Lφ,1,s(Rn).
Related Topics
Physical Sciences and Engineering Mathematics Analysis
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